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Finding the Fourth Proportional to 17,334.42, 25,976.67 and 13,420.50

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Solution

The fourth proportional to 17,334.42, 25,976.67 and 13,420.50 is: 20,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.42 : 25,976.67 = 13,420.50 : x
  2. Step 2: Convert to fraction form
    17,334.42/25,976.67 = 13,420.50/x
  3. Step 3: Cross multiply
    17,334.42x = 25,976.67 × 13,420.50
  4. Step 4: Simplify right side
    17,334.42x = 348,619,899.74
  5. Step 5: Solve for x
    x = 348,619,899.74/17,334.42
  6. Step 6: Final answer
    x = 20,111.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.